In recent years, damage problems on fiber-reinforced composite laminated structures have attracted considerable interest and attention of researchers in both academic and engineering fields. This book summarizes research results in the areas of nonlinear problems of laminated plates and shells, conducted by the author and his graduate students over the past decades. The main content comes from research papers published in leading international and national academic journals. The contents of this book are related to composite mechanics, nonlinear plate and shell mechanics, damage mechanics, elasto-plastic mechanics, visco-elastic mechanics, piezoelectric elastic mechanics and nonlinear dynamics, which embody the combination and integration among solid mechanics, material science and nonlinear science. While this book tries to present recent development and brings forth new ideas in the academic area, it also gives emphasis on the basic concepts, fundamental principles and establishment of basic approaches.Moreover, this book provides a complete set of theoretical system and analytic methods for the nonlinear research of laminated structures and piezoelectric laminated structures with damage.